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Simplifying (49x + 48y) + -1(11x + -14y) = 0 Remove parenthesis around (49x + 48y) 49x + 48y + -1(11x + -14y) = 0 49x + 48y + (11x * -1 + -14y * -1) = 0 49x + 48y + (-11x + 14y) = 0 Reorder the terms: 49x + -11x + 48y + 14y = 0 Combine like terms: 49x + -11x = 38x 38x + 48y + 14y = 0 Combine like terms: 48y + 14y = 62y 38x + 62y = 0 Solving 38x + 62y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62y' to each side of the equation. 38x + 62y + -62y = 0 + -62y Combine like terms: 62y + -62y = 0 38x + 0 = 0 + -62y 38x = 0 + -62y Remove the zero: 38x = -62y Divide each side by '38'. x = -1.631578947y Simplifying x = -1.631578947y
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